New posts in P Adic Number Theory

$p$-adic completion of $\mathbb{Z}[X]$ and $\mathbb{Z}[[X]]$.

Ring of $p$-adic integers $\mathbb Z_p$

Galois group over $p$-adic numbers

p-adic expansion of a rational number

Tensor product of a number field $K$ and the $p$-adic integers

Is there an explicit embedding from the various fields of p-adic numbers $\mathbb{Q}_p$ into $\mathbb{C}$?

Set of locations where the Hilbert symbol is not equal to $1$

Local solutions of a Diophantine equation

How many $p$-adic numbers are there?

Why are closed balls in the $p$-adic topology compact?